Question

A piggy bank contains $2.10 in nickels and quarters. The number of nickels is 2 more than 3 times the number of quarters. How many nickels are there? What is their total value?

Answer 1

5.20

Explanation:

I did it my head so cannot no and explanation on this sorey

Answer 2

$5.20

Explanation:

Let's start by using the information that the number of nickels is 2 more than 3 times the number of quarters.

Let Q be the number of quarters. Then, the number of nickels is 3Q + 2.

We know that the total value of the coins is $2.10. Since nickels are worth $0.05 and quarters are worth $0.25, we can set up the equation:

0.05(3Q + 2) + 0.25Q = 2.10

Simplifying the equation, we get:

0.15Q + 0.02 = 2.10

Subtracting 0.02 from both sides gives:

0.15Q = 2.08

Dividing both sides by 0.15 gives:

Q = 13

So, there are 13 quarters.

Now, we can find the number of nickels:

3Q + 2 = 3(13) + 2 = 39

There are 39 nickels.

The total value of the nickels is:

0.05(39) = $1.95

Adding the value of the quarters ($0.25 x 13 = $3.25) to the value of the nickels gives a total value of:

$1.95 + $3.25 = $5.20